449918304 has 96 divisors (see below), whose sum is σ = 1295481600. Its totient is φ = 135590400.

The previous prime is 449918281. The next prime is 449918377. The reversal of 449918304 is 403819944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209074 + ... + 211214.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^449918304 is an apocalyptic number.

449918304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

449918304 is an abundant number, since it is smaller than the sum of its proper divisors (845563296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449918304 is a wasteful number, since it uses less digits than its factorization.

449918304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 449918304 is about 21211.2777550057. The cubic root of 449918304 is about 766.2630559459.

The spelling of 449918304 in words is "four hundred forty-nine million, nine hundred eighteen thousand, three hundred four".